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Morse-Novikov cohomology of almost nonnegatively curved

发布时间:2019-11-20 作者: 浏览次数:
Speaker: 陈小杨 DateTime: 2019年11月23日 (周六)上午9:30到10:30
Brief Introduction to Speaker:

 

陈小杨,研究员,同济大学。

Place: 6号楼二楼报告厅
Abstract:Let M be a closed manifold of almost nonnegative sectional curvature and nonzero first de Rham cohomology group. Using a topological argument, we show that the Morse-Novikov cohomology group vanishes for any p. Based on a new integral formula, we also show that a similar result holds for a closed manifold of almost nonnegative Ricci curvature under the additional assumption that its curvature operator is uniformly bounded from below.